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Arithmetic Problems - Advanced Level: mixture problems ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level arithmetic problems problems. Focus on mixture problems while practicing simple interest, compound interest, ratio proportion. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 25 of 30 (83% complete)

Question 1

A and B invest for 5 and 12 months respectively. C joins after 5 months and invests Rs. 5671 for the remaining period. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 4653×5 : 2031×12 : 5671×8 = 23265 : 24372 : 45368
partnership

Question 2

What is 50% of 516?
50% of 516 = (516*50)/100 = 258.0
percentage

Question 3

What is 30 ÷ 3?
30 ÷ 3 = 10
arithmetic, operation

Question 4

In the HP sequence: 0.1667, 0.0909, ___, 0.0476, find the missing term.
HP = reciprocal of AP. Missing index: 2. AP: 16. Answer: 0.0625.
HP, sequence

Question 5

Fill the missing term: 8, 17, 26, 35, ?, 53
AP with difference 9. 8+4*9 = 44.
arithmetic, progression

Question 6

What is 88 - 11?
88 - 11 = 77
arithmetic, operation

Question 7

Find the wrong term in the series: 32, 39, 46, 53, 81, 67, 74
Correct AP is 32, 39, 46, 53, 60, 67, 74. Wrong term: 81, position 5.
arithmetic, wrong term

Question 8

In the GP sequence: 5, 15, 45, ___, 405, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 3. Answer: 135.
GP, sequence

Question 9

Find the wrong term in the series: 19, 22, 25, 40, 31, 34, 37
Correct AP is 19, 22, 25, 28, 31, 34, 37. Wrong term: 40, position 4.
arithmetic, wrong term

Question 10

Calculate simple interest on Rs. 7011 at 12% per annum for 2 years.
Simple Interest = PRT/100 = 1682.64.
interest

Question 11

In the GP sequence: 6, 18, ___, 162, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 54.
GP, sequence

Question 12

The chart below shows the number of cars (in thousands) manufactured in 2020: India-250 USA-400 Japan-150 UK-270 How many more cars (in thousands) did Japan make compared to USA?
Difference = |150 - 400| = 250.
data chart

Question 13

Find the sum of first 11 terms of the AP: First term=5, common difference=6.
S_n = n/2 [2a + (n-1)d] = 11/2*[2*5+(10)*6] = 385.0
sum, arithmetic progression

Question 14

What is the remainder when 375 is divided by 3?
375 modulo 3 = 0.
modular

Question 15

In a ratio 7:2, what is the first part out of 396?
First part: 396 * 7/(9) = 308.0
ratio

Question 16

Fill the missing term: 35, 37, 39, ?, 43
AP with difference 2. 35+3*2 = 41.
arithmetic, progression

Question 17

Find the sum of first 10 terms of the AP: First term=4, common difference=6.
S_n = n/2 [2a + (n-1)d] = 10/2*[2*4+(9)*6] = 310.0
sum, arithmetic progression

Question 18

Calculate compound interest on Rs. 7443 at 7% per annum for 4 years.
CI = P(1+r/100)^t - P = 9756.25 - 7443 = 2313.25.
compound interest

Question 19

What is the remainder when 112 is divided by 11?
112 modulo 11 = 2.
modular

Question 20

Find the wrong term in the series: 28, 25, 34, 37, 40, 43, 46
Correct AP is 28, 31, 34, 37, 40, 43, 46. Wrong term: 25, position 2.
arithmetic, wrong term
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